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Finding the Third Proportional to 178,432 and 389,696

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Solution

The third proportional to 178,432 and 389,696 is: 851,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,432 : 389,696 = 389,696 : x
  2. Step 2: Convert to fraction form
    178,432/389,696 = 389,696/x
  3. Step 3: Cross multiply
    178,432x = 389,696 × 389,696
  4. Step 4: Simplify right side
    178,432x = 151,862,972,416
  5. Step 5: Solve for x
    x = 151,862,972,416/178,432
  6. Step 6: Final answer
    x = 851,097.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.